Maximum likelihood estimation for the skew Ornstein-Uhlenbeck processes

来源 :2016随机微分方程和随机过程研讨会(Workshop on SDEs and Stochastic Processes | 被引量 : 0次 | 上传用户:yorehi
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  In this paper,we consider the maximum likelihood estimation for the skew Ornstein-Uhlenbeck processes based on continuous observations.When dealing with the skew Ornstein-Uhlenbeck process,the main difficulty lies in the appearance of the local time.We use Girsanov transformations successively to obtain the maximum likelihood function,by which the maximum likelihood estimators of the drift parameter are derived.Furthermore,we also prove their strong consistency and asymptoticnormality.
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